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Communication Dans Un Congrès Année : 2023

The Maker-Maker domination game in forests

Résumé

We study the Maker-Maker version of the domination game introduced in 2018 by Duchêne et al. Given a graph, two players alternately claim vertices. The first player to claim a dominating set of the graph wins. As the Maker-Breaker version, this game is PSPACE-complete on split and bipartite graphs. Our main result is a linear time algorithm to solve this game in forests. We also give a characterization of the cycles where the first player has a winning strategy.
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Dates et versions

hal-04123172 , version 1 (09-06-2023)

Identifiants

Citer

Eric Duchêne, Arthur Dumas, Nacim Oijid, Aline Parreau, Eric Rémila. The Maker-Maker domination game in forests. Symposium on Theoretical Aspects of Computer Science (STACS), Mar 2023, Hambourg (Germany), Germany. pp.34:1--34:19, ⟨10.1016/j.dam.2024.01.023⟩. ⟨hal-04123172⟩
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